Equations practice problems - page 34 of 242
Number of problems found: 4827
- Boiler room
If only the first boiler is running, the coal supply is enough for 8 days. If only the second boiler is running, the coal supply is enough for 12 days. If only the third boiler is in operation, the coal supply will last for 6 days. How many days in total - Individual
To prepare 14 kg of cheese with 45% dry matter, 3 types of cheese mixtures were mixed. The first was 5 kg, the second was 3 kg and had 14% more dry matter (14 percentage points more) than the first. The third mixture, which had 2 times as much dry matter - Camp room distribution
Fifty pupils were in the camp; they lived in double and triple rooms. They occupied 20 rooms, many of which were two- and three-story. Please proceed. - Consecutive even sum
The sum of five consecutive even numbers is -10. What are the numbers? - Observatories A,B
The target C is observed from two artillery observatories, A and B, 296 m apart. At the same time, angle BAC = 52°42" and angle ABC = 44°56". Calculate the distance of the target C from observatory A. - Cyclist opposite distance
A cyclist left Olomouc in the direction of Zábřeh in 6 h 30 min at an average speed of 24 km/h. At 7:40 a.m., a cyclist left Olomouc opposite Ostrava at an average 36 km/h rate. At what time will they be 112 km apart? - Pool man woman
A total of 680 adults visited the swimming pool yesterday, among whom there were 30% fewer men than women. How many men visited the swimming pool yesterday? - Pupil room distribution
Pupils on ski training lived in 29 rooms, some of which were 4-bed, others 5-bed. How many were there when there were 120 children? - Remaining
Mom baked buns for dinner. Dad ate 1/3 of them. Then Jurko came and ate a quarter of the remaining buns. After Jurko came to Martin, who ate a third of the remaining buns. Anka ate half of the remaining buns and Mom was left with four buns. How many buns - Vertex of the rectangle
Determine the coordinates of the vertex of the rectangle inscribed in the circle x²+y² -2x-4y-20=0 if you know that one of its sides lies on the line p: x+2y=0 - Circle - analytics geometry
Write the equation of the circle that passes through the points Q[3.5] R[2.6] and has its center on the line 2x+3y-4=0. - Number half fifty
Five times its number is as much greater than 50 as its half is less than 49. - Car cargo weight
The weight of the car with cargo is 7610 kg. The car's weight represents 23% of the car's total weight with cargo. What is the weight of the cargo? - The tangent of the hyperbola
Write the equation of the tangent of the hyperbola 9x²−4y²=36 at the point T =[t1,4]. - Dolphin Shark fish
Mr. Dolphin and Mr. Shark were skilled fishermen. Once, they caught a total of 70 fish. Five-ninths of the fish Mr. Dolphin caught were trout. Two-seventeenths of the fish Mr. Shark caught were carp. How many fish did Mr. Dolphin catch? - Ticket week sales
Two hundred sixteen tickets were sold in the first four days of the week. One-quarter of those tickets were sold on Monday, one-fifth more than on Tuesday. The same number of tickets were sold on Thursday as on Tuesday and Wednesday combined. How many wer - Parallelogram area perimeter
Calculate the area of a parallelogram if we know the perimeter is 23 cm, the diagonal is 8.5 cm, and one side is 1.5 cm longer. - Truck pile shifts
Four trucks will move the pile in 25 shifts. How many cars are needed to reduce the time by 2:5? - School plot modification When modifying the school plot in the shape of a rectangle, the deviation was calculated if we increased the length and width of the plot by 1m and its area by 22 m². If we reduce the length of the plot by 2m and increase its width by 1m, its area will de
- Car fuel distance
The car traveled a distance of 120 km in 1 hour 50 minutes. The first part of this track traveled at a speed of 50 km per hour, and the second part traveled at a speed of 75 km per hour. The 10 minutes the driver needed to fill the gas are included in the
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